9514 1404 393
Answer:
$2300.01
Step-by-step explanation:
The down payment is 14% of $394,000, so is ...
0.14 × $394,000 = $55,160
This means the principal amount of the loan is ...
$394,000 -55,160 = $338,840
__
The amount of the monthly loan payment is given by the amortization formula ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where P is the principal amount, r is the annual interest rate, and t is the number of years. Filling in the values, we have ...
A = $338,840(0.072/12)/(1 -(1 +0.072/12)^(-12·30))
= $338,840(0.006)/(1 -(1.006^-360)) = $2300.01
The monthly payment is $2300.01.
_____
Additional comment
Such calculations are commonly done using a spreadsheet, financial calculator, or app. If you're doing a number of financial calculations, it can be a good idea to obtain and learn to use an appropriate tool.
solve for x x/12−2=−3
x=
Answer:
-12
Step-by-step explanation:
x/12 =-3+2
x/12= -1
x = -12
Answer:
-12
Step-by-step explanation:
x/12 must equal -1 because -1 - 2 = -3.
-12 divided by 12 = -1
-12/12 - 2 = -2
What is the area of the object?
Answer:
88 feet
Step-by-step explanation:
6x13=78 (rectangle)
13-8=5 (length of triangle)
10-6=4 (height of triangle)
5x4/2=10 (triangle)
6(2 + y) - 2y
solve the problem
Please help middle school easy points
Step-by-step explanation:
go to the doctor
Nicavian sells insurance. He earns a 6% commission on each sale he makes. What dollar amount of sales must Nicavian make to earn $600 in commissions?
Question 3 options:
$360
$36
$10,000
$1,000
Answer:
$360
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
360 beacause i used the elesation point so i can get my answer and than i used another method that m teacher uses and my teacher told me when we do that it will take a long time to do but thats what i got and did to get that question.
What is the side length of this square if the perimeter is 28 units and the area is 49 square units?
Answer:
7
Step-by-step explanation:
a square's sides are all the same length.
since the area of the square is 49 square ints,
√(49)=7.
You can check this by doing 7(4)=28, since the perimeter is 28 units, and a square has 4 sides.
Please help me with this math question!!
Answer:
95
Step-by-step explanation:
Determine the regression equation for the data. Round the final values to three significant digits, if necessary.
x 6 8 20 28 36
y 2 4 13 20 20
Answer:
y = 0.6487 - x
Step-by-step explanation:
Given the data:
x: __ 6 __ 8 ____ 20 ___ 28 ____ 36
y: __ 2__ 4 ____ 13 ____20 ____ 20
The regression equation obtained for the data given using an online regression model calculator is :
Regression equation :
y = 0.6487 - x
With
0.6487 being the intercept
x and y are the independent and dependent variables respectively
The slope of the regression equation = 1
a rectangular prism has a square base with a side length of 10 inches. The volume of the prism is 1,600 cubic inches. Find the surface area of the prism
Answer:
840 in^2
Step-by-step explanation:
If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).
The height of the prism comes from dividing the volume, 1600 in^3, by the area of the base, 100 in^2: It is 16 in. Then the combined areas of the four sides of the prism is 4(160 in^2).
The total surface area of the prsim is then 640 in^2 + 200 in^2, or 840 in^2.
1 a) How long would it take you to travel 3 kilometres, if you walked at 6 km/h?
Give your answer in minutes.
Help please! Due in 15 mins!
Answer:
A. He needs 18.7 yards of fencing to go all the way around the yard.
Starbucks wanted to increase the sales of their cold brew coffee. They are considering buying a new nitro-cold brew machine that would make the coffee much smoother and faster. In order for this purchase to be financially viable, they would have to sell at least 30 cups of cold brew coffee per store per day. They decided to test this new machine out by randomly sampling 60 of their stores to be used as a trial run. The mean of this sample was 35, and the sample standard deviation was 5.3. Determine the test statistic, round to 2 decimal places.
Answer:
7.31
Step-by-step explanation:
According to the scenario, calculation of given data are as follows,
Sample mean (X) = 35
standard deviation (y) = 5.3
Sample size (n) = 60
Population mean (p) = 30
We can calculate test statistics by using following formula,
[tex]t = \frac{(x - p)}{\frac{y}{\sqrt{ n} } }[/tex]
By putting the value in equation, we get
[tex]t = \frac{(35 - 30)}{\frac{5.3}{\sqrt{ 60} } }[/tex]
t = 5 ÷ 0.684
t = 7.31
Hence, test statistics for the given data is 7.31.
72 divided(3x(112-109)+10.04
A triangle has a perimeter 12 cm and area 6 cm^2.
It is enlarged by a scale factor of 3 to produce a
similar triangle. What is the perimeter and area
of the new triangle?
Answer:
The new triangle will have a perimeter of 36 cm, and an area of 18 cm2.
Step-by-step explanation:
Given that the triangle whose perimeter is 12 cm and its surface is 6 cm2, and is lengthened by a scale factor of 3 to produce a similar triangle, the perimeter and surface of the new triangle arise from the following calculation:
Perimeter = 12 x 3 = 36 cm
Area = 6 x 3 = 18 cm2
Thus, the new triangle will have a perimeter of 36 cm, and an area of 18 cm2.
What is -2y + 10 + 2y - 8 simplified?
A. 10
B. 8
C. 6
D. 2
Answer:
D.2
Step-by-step explanation:
(-2y+2y)+(10-8)=2
the answer is D. 2
Step-by-step explanation:
the answer is d. 2
You are 25-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a 20-Year Endowment insurance police, given that the face value of the policy is $89,753. If need be, round your answer to the nearest cent.
A 7-column table with 4 rows titled Permanent Insurance. Column 1 is labeled Age with entries 25, 26, 27, 28. Column 2 is labeled Whole life male (dollars) with entries 16.38, 16.91, 17.27, 17.76. Column 3 is labeled whole life female with entries 14.38, 14.77, 15.23, 15.66. Column 4 is labeled 20-payment life male with entries 18.40, 29.11, 29.97, 30.68. Column 5 is labeled 20-payment life female with entries 25.04, 25.96, 26.83, 27.54. Column 6 is labeled 20-year endowment male with entries 37.02, 37.67, 38.23, 38.96. Column 7 is labeled 20-year endowment female with entries 34.87, 35.30, 35.96, 36.44.
a.
$3,431.26
c.
$3,322.66
b.
$3,496.78
d.
$3,381.00
Answer:
The answer is C
Step-by-step explanation:
Just took the test
37000000000000-187000000000
Answer:
37000000000000 - 187000000000 = 36813000000000
Step-by-step explanation:
Use long subtraction to evaluate.
Hope this helps! Have a nice day!
Answer:
The aswer is 3.6813e13
Which is 368130000000000000
In a beach town, 13% of the residents own boats. A random sample of 100 residents was selected. What is the probability that less than 11% of the residents in the sample own boats?
Find the z-table here.
Answer:
Approximately [tex]0.038[/tex] (or equivalently [tex]3.8\%[/tex],) assuming that whether each resident owns boats is independent from one another.
Step-by-step explanation:
Assume that whether each resident of this town owns boats is independent from one another. It would be possible to model whether each of the [tex]n = 100[/tex] selected residents owns boats as a Bernoulli random variable: for [tex]k = \lbrace 1,\, \dots,\, 100\rbrace[/tex], [tex]X_k \sim \text{Bernoulli}(\underbrace{0.13}_{p})[/tex].
[tex]X_k = 0[/tex] means that the [tex]k[/tex]th resident in this sample does not own boats. On the other hand, [tex]X_k = 1[/tex] means that this resident owns boats. Therefore, the sum [tex](X_1 + \cdots + X_{100})[/tex] would represent the number of residents in this sample that own boats.
Each of these [tex]100[/tex] random variables are all independent from one another. The mean of each [tex]X_k[/tex] would be [tex]\mu = 0.13[/tex], whereas the variance of each [tex]X_k\![/tex] would be [tex]\sigma = p\, (1 - p) = 0.13 \times (1 - 0.13) = 0.1131[/tex].
The sample size of [tex]100[/tex] is a rather large number. Besides, all these samples share the same probability distribution. Apply the Central Limit Theorem. By this theorem, the sum [tex](X_1 + \cdots + X_{100})[/tex] would approximately follow a normal distribution with:
mean [tex]n\, \mu = 100 \times 0.13 = 13[/tex], andvariance [tex]\sigma\, \sqrt{n} = p\, (1 - p)\, \sqrt{n} = 0.1131 \times 10 = 1.131[/tex].[tex]11\%[/tex] of that sample of [tex]100[/tex] residents would correspond to [tex]11\% \times 100 = 11[/tex] residents. Calculate the [tex]z[/tex]-score corresponding to a sum of [tex]11[/tex]:
[tex]\begin{aligned}z &= \frac{11 - 13}{1.131} \approx -1.77 \end{aligned}[/tex].
The question is (equivalently) asking for [tex]P( (X_1 + \cdots + X_{100}) < 11)[/tex]. That is equal to [tex]P(Z < -1.77)[/tex]. However, some [tex]z[/tex]-tables list only probabilities like [tex]P(Z > z)[/tex]. Hence, convert [tex]P(Z < -1.77)\![/tex] to that form:
[tex]\begin{aligned} & P( (X_1 + \cdots + X_{100}) < 11) \\ &= P(Z < -1.77) \\ &= 1 - P(Z >1.77) \end{aligned}[/tex].
Look up the value of [tex]P(Z > 1.77)[/tex] on a [tex]z[/tex]-table:
[tex]P(Z > 1.77) \approx 0.962[/tex].
Therefore:
[tex]\begin{aligned} & P( (X_1 + \cdots + X_{100}) < 11) \\ &= 1 - P(Z >1.77) \\ &\approx 1 - 0.962 = 0.038 \end{aligned}[/tex].
Answer:
0.276
Step-by-step explanation:
got it right on edge
The science club is going to the space museum. The club consists of 27 students. If admission costs $6.50 for children ages 4-11 and $8.50 for children ages 12-17, how much will it cost for the entire science club's admission to the museum?
Science Club Student's Ages
Age/Number of Students
10 4
11 11
12 7
13 3
14 2
A- 175.50
B-185.50
C-199.50
D-229.50
Answer
C
Step-by-step explanation:
There are 15 students ages 4 - 11, 15 x 6.50 = 97.50
There are 12 students aged 12 - 17, 12 x 8.50 = 102
102 + 97.50 = 199.50
Jose makes $13.50 per hour. How much will he make if he works 7 hours?
Answer:
94.50
Step-by-step explanation:
I used a calculator
Answer:
$94.50
Step-by-step explanation:
Just multiply 13.50 x 7 which gets you $94.50
Yesterday, Shane's Doughnut Shop sold 1/2 as many chocolate doughnuts as cinnamon doughnuts. If they sold 3 1/6 trays of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?
Answer:
6 1/3 (19/3)
Step-by-step explanation:
if they sold 3 1/6 trays of cinnamon donuts and there were 1/2 as many chocolate donuts sold wed have to do
1/2 divided by 3 1/6
3 1/6 - 19/6
1/2 divided by 19/6 = 6 1/3
hope this helped! <3
Answer:
6 1/3 (19/3)
Step-by-step explanation:
Please help, I will give brainliest. I am struggling badly.
Answer:
C) y = -1/4x
Step-by-step explanation:
find slope by selecting two points -- I used (0, 0) and (-4, 1)
slope is the difference of the y-values: 1 - 0 = 1
divided by the difference of the x-values: -4 - 0 = -4
slope = -1/4
the other thing you need to know is the y-intercept, which in this case is zero
so the equation is y = -1/4x
3. Find the dimensions of the
rectangle below if the area is 128
square feet.
x-1
x + 7
PLEASE HELP SOON!!!!!
Answer:
16 ft, 8 ft
Step-by-step explanation:
Area of rectangle = 128 Sq ft
[tex](x + 7)(x - 1) = 128 \\ \\ {x}^{2} - x + 7x - 7 = 128 \\ \\ {x}^{2} + 6x - 7 - 128 = 0 \\ \\ {x}^{2} + 6x - 135 = 0 \\ \\ {x}^{2} + 15x - 9x - 135 = 0 \\ \\ x(x + 15) - 9(x + 15) = 0 \\ \\ (x + 15)(x - 9) = 0 \\ \\ x + 15 = 0 \: \: or \: \: x - 9 = 0 \\ \\ x = - 15 \: or \: \: x = 9 \\ \\ \because \: side \: of \: a \: rectangle \: can \: not \: \\ be \: negative \\ \\ \implies \: x \neq - 15 \\ \\ \implies \: x = 9 \\ \\ \red{ \bold{x + 7 = 9 + 7 = 16}} \\ \\ \purple{ \bold{ x - 1 = 9 - 1 = 8}}[/tex]
Thus, the dimensions of the rectangle are 16 ft and 8 ft.
A scale drawing of a building needs to be made using the scale 1 in = 250 ft. How tall will the building in the scale drawing be if the building is 750 ft tall?
The height of the building in the scale drawing will be ___ in.
Answer:
The height of the building in the scale drawing will be 3 in.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
In the drawing, each inch represents 250 feet. So how many inches will be needed to represent 750 feet?
1 inch - 250 feet
x inches - 750 feet
Applying cross multiplication:
[tex]250x = 750[/tex]
[tex]x = \frac{750}{250}[/tex]
[tex]x = 3[/tex]
So
The height of the building in the scale drawing will be 3 in.
12 = 7/2 (5x+2) what is the answer simplified ??
Step-by-step explanation:
12 = 7/2 (5x+2)
12=3.5(5x+2)
12=17.5x+7
12-7=17.5x
5/17.5=x
2/7=x
Answer:
The answer is x=[tex]\frac{2}{7}[/tex]
Explanation:
1)12 = 7/2 (5x+2)
2)12=3.5(5x+2)
3)12=17.5x+7
4)12-7=17.5x
5)5/17.5=x
And then your final answer is x=[tex]\frac{2}{7}[/tex]
in width and 18cm in height.
measures 23cm in length, 9cm.
V=1195cm3
V=1852cm3
V=2746cm3
V=3726cm3
Need help please!
Answer:
i have ans above. please try again yourself.
MHANIFA HELP ME 10 POINTS
3^x= 3*2^x
solve this equation
Answer:
[tex]\displaystyle x=\frac{\log 3}{\log(3)-\log 2}\approx 2.71[/tex]
Step-by-step explanation:
Logarithms
We need to recall these properties of logarithms:
[tex]\log_ax^n=m\log_ax[/tex]
[tex]\log_a(xy)=\log_a(y)+\log_a(y)[/tex]
The equation to solve is:
[tex]3^x=3*2^x[/tex]
Applying logarithms:
[tex]\log(3^x)=\log(3*2^x)[/tex]
Applying the exponent property on the left side and the product property on the right side:
[tex]x\log(3)=\log 3+\log 2^x[/tex]
Applying the exponent property:
[tex]x\log(3)=\log 3+x\log 2[/tex]
Rearranging:
[tex]x\log(3)-x\log 2=\log 3[/tex]
Factoring:
[tex]x(\log(3)-\log 2)=\log 3[/tex]
Solving:
[tex]\boxed{\displaystyle x=\frac{\log 3}{\log(3)-\log 2}}[/tex]
Calculating:
[tex]\mathbf{x\approx 2.71}[/tex]
6. RULE: multiply each term by 4.
If the first number in the pattern is 6, what are the next 5
numbers in the pattern?
Answer:
24,144,864,5184,31104
Step-by-step explanation:
check the solution.
y=x-7
y=-4+3
solution: (2,-5)
check in first eq:
check in 2nd eq:
Answer:
Both equations, when we replace the solution, generate identities.
Step-by-step explanation:
We are given the following system:
y = x - 7
y = -4x + 3
We are given the following solution.
(2,-5).
First equation:
We have to show that when x = 2, y = -5. So
y = x - 7
-5 = 2 - 7
-5 = -5
So ok
Second equation
We have to show that when x = 2, y = -5. So
y = -4x + 3
-5 = -4(2) + 3
-5 = -8 + 3
-5 = -5
We generate both identities, so the solution is checked.
What is the slope-intercept form of the equation y +5 = 4(x+8)?
O A. y=-4x+27
B. y = 4x+27
C. y = 4x+37
D.y = -4x-27
Answer:
B. y=4x+27
Step-by-step explanation:
Currently, this equation is written is point-slope form, so we need to change it to slope-intercept form, which looks like this: y=mx+b.
y+5=4(x+8) Distribute.
y+5=4x+32 Subtract 5 on both sides.
-5 -5
y=4x+27
Therefore, the answer is B.
Hope this helps and have a nice day ^^